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bchenc

Syntax

code = bchenc(msg,n,k)
code = bchenc(...,paritypos)

Description

code = bchenc(msg,n,k) encodes the message in msg using an [n,k] BCH encoder with the narrow-sense generator polynomial. msg is a Galois array of symbols over GF(2). Each k-element row of msg represents a message word, where the leftmost symbol is the most significant symbol. Parity symbols are at the end of each word in the output Galois array code.

code = bchenc(...,paritypos) specifies whether bchenc appends or prepends the parity symbols to the input message to form code. The string paritypos can be either 'end' or 'beginning'. The default is 'end'.

The tables below list valid [n,k] pairs for small values of n, as well as the corresponding values of the error-correction capability, t.

nkt
7 4 1

nkt
15 11 1
15 7 2
15 5 3

nkt
31 26 1
31 21 2
31 16 3
31 11 5
31 6 7

nkt
63 57 1
63 51 2
63 45 3
63 39 4
63 36 5
63 30 6
63 24 7
63 18 10
63 16 11
63 10 13
63 7 15

nkt
127 120 1
127 113 2
127 106 3
127 99 4
127 92 5
127 85 6
127 78 7
127 71 9
127 64 10
127 57 11
127 50 13
127 43 14
127 36 15
127 29 21
127 22 23
127 15 27
127 8 31

nkt
255 247 1
255 239 2
255 231 3
255 223 4
255 215 5
255 207 6
255 199 7
255 191 8
255 187 9
255 179 10
255 171 11
255 163 12
255 155 13
255 147 14
255 139 15
255 131 18
255 123 19
255 115 21
255 107 22
255 99 23
255 91 25
255 87 26
255 79 27
255 71 29
255 63 30
255 55 31
255 47 42
255 45 43
255 37 45
255 29 47
255 21 55
255 13 59
255 9 63

nkt
511 502 1
511 493 2
511 484 3
511 475 4
511 466 5
511 457 6
511 448 7
511 439 8
511 430 9
511 421 10
511 412 11
511 403 12
511 394 13
511 385 14
511 376 15
511 367 16
511 358 18
511 349 19
511 340 20
511 331 21
511 322 22
511 313 23
511 304 25
511 295 26
511 286 27
511 277 28
511 268 29
511 259 30
511 250 31
511 241 36
511 238 37
511 229 38
511 220 39
511 211 41
511 202 42
511 193 43
511 184 45
511 175 46
511 166 47
511 157 51
511 148 53
511 139 54
511 130 55
511 121 58
511 112 59
511 103 61
511 94 62
511 85 63
511 76 85
511 67 87
511 58 91
511 49 93
511 40 95
511 31 109
511 28 111
511 19 119
511 10 121

Examples

See the example on the reference page for the function bchdec.

Limitations

The maximum allowable value of n is 65535.

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See Also

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